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10001101919 is a prime number
BaseRepresentation
bin10010101000001110…
…01011010001011111
3221210222211121200012
421110013023101133
5130440240230134
64332222153435
7502556651354
oct112407132137
927728747605
1010001101919
1142723a7996
121b3142287b
13c34cb4bb3
146ac36c62b
153d80296ce
hex2541cb45f

10001101919 has 2 divisors, whose sum is σ = 10001101920. Its totient is φ = 10001101918.

The previous prime is 10001101909. The next prime is 10001101939. The reversal of 10001101919 is 91910110001.

It is a happy number.

10001101919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001101919 - 212 = 10001097823 is a prime.

It is a super-2 number, since 2×100011019192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001101894 and 10001101903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001101909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550959 + 5000550960.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550960).

Almost surely, 210001101919 is an apocalyptic number.

10001101919 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101919 is an equidigital number, since it uses as much as digits as its factorization.

10001101919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 10001101919 in words is "ten billion, one million, one hundred one thousand, nine hundred nineteen".